201616380 has 108 divisors (see below), whose sum is σ = 711448920. Its totient is φ = 46081728.

The previous prime is 201616351. The next prime is 201616397. The reversal of 201616380 is 83616102.

201616380 is a `hidden beast` number, since 20 + 1 + 6 + 1 + 638 + 0 = 666.

201616380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2610 + ... + 20249.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^201616380 is an apocalyptic number.

201616380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201616380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

201616380 is an abundant number, since it is smaller than the sum of its proper divisors (509832540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201616380 is a wasteful number, since it uses less digits than its factorization.

201616380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22888 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201616380 is about 14199.1682855018. The cubic root of 201616380 is about 586.3747636743.

The spelling of 201616380 in words is "two hundred one million, six hundred sixteen thousand, three hundred eighty".